Show that the function `f : N to N` defined by `f(x) = x^(3), AA x in N` is injective but not surjective.

Show that the function f : N to N defined by f(x) = x^(2), AA x in N is injective but not surjective.

Show that the function f : Z to Z defined by f(x) = x^(3), AA x in Z is injective but not surjective.

Show that the function f : R to R defined by f(x) = x^(2) AA x in R is neither injective nor subjective.

Show that the function f : R^+toR^+ defined by f (x) =x+1/x is injective, but not surjective .

Show that the function f: N rarr N defined by f(x)= 2x + 3 , where x in N , is not bijective.

If f: N to N defined as f(x)=x^(2)AA x in N, then f is :

Let f: N to N be defined by f(x) = x-(1)^(x) AA x in N , Then f is

Show that the function f:N to N defined by f(x)=2x-1 is one-one but not onto.

Consider the function f:NtoN , given by f(x)=x^3 . Show that the function ' f ' is injective but not surjective.